If \(E_\star \)  is a parabolic sheaf on a scheme
\(X\) , we have \(H^0(C, E_\star ) := \operatorname{Hom}(O_X, E_\star ) =\operatorname{Hom}(O_X, E_0) = \Gamma (X, E)\) , and one can define the
higher cohomology groups by taking the corresponding right derived functor, as in
[1]}, where, more generally,
\(\operatorname{Ext}^i(E_\star , F_\star )\)  is defined for parabolic \(O_X\)  modules.
In general we have \(H^i(X, E_\star )=H^i(X, E_0)\) .
